Solving a Hinged Coil's Equilibrium Angle in a Magnetic Field

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SUMMARY

The discussion focuses on determining the equilibrium angle of a square coil in a vertical magnetic field. The coil, made from a 3m wire with a mass of 0.5kg and carrying a 3.4A current, is subjected to a magnetic field of 2T. The key equation used is torque = BIA, where B is the magnetic field strength, I is the current, and A is the area of the coil. The challenge lies in correctly decomposing the magnetic and gravitational forces to find the angle the coil makes with the horizontal.

PREREQUISITES
  • Understanding of torque in magnetic fields
  • Knowledge of force decomposition in physics
  • Familiarity with the principles of electromagnetism
  • Basic trigonometry for resolving forces
NEXT STEPS
  • Study the principles of torque in magnetic fields using the formula torque = BIA
  • Learn about force decomposition techniques in physics
  • Explore the relationship between current, magnetic fields, and forces on coils
  • Investigate equilibrium conditions for objects in magnetic fields
USEFUL FOR

Physics students, electrical engineering students, and anyone interested in the applications of electromagnetism in mechanical systems.

anonymousphys
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Homework Statement


A piece of wire has a mass of .5kg and length 3m is used to make a square coil .2m on a side. The coil is hinged along the horizontal side, carries a 3.4A current, and is placed in a vertical magnetic field of magnitude 2T. Determine the angle that the plane of the coil makes with the horizontal when the coil is in equilibrium.


Homework Equations


(torque)=BIA


The Attempt at a Solution


I am having trouble decomposing the magnetic force components and the components resulting from gravity.
I keep getting cos (x) for the magnetic force and cos (x) for the gravitational force. However, the answer associates cos (x) with the magnetic field and sin(x) for the gravitational field.

Thanks for any help.
 
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This is how I am picturing the forces:
http://img100.imageshack.us/img100/1926/magnetic.png
 
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